Add 7 to both sides
At the left hand side 7 will cancel 7
At the right hand side 7 will add up
Divide through by 2
simplify the fraction
Answer:
PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)
Step-by-step explanation:
<u>Given</u>: PG ≅ SG and PT ≅ ST
<u>To Prove</u>: ∠GPT ≅ ∠GST
<u>Proof</u>: PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).
<u>SSS Congruency Axiom</u>: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
If you would like to know how many papers will be missing the name, you can calculate this using the following steps:
30% of 200 homework papers = 30% * 200 = 30/100 * 200 = 60 homework papers
The correct result would be a) between 50 and 70 papers will be missing the name.
the first 4 sets of coordinates are (2,1) (3,5) (4,9) and (5,13)
